January 2nd, 2017, 04:44 AM  #1 
Member Joined: May 2016 From: Ireland Posts: 76 Thanks: 1  relative displacement
ship k is 3000m to the west of ship h. ship k is travelling with velocity 12i+6j m/s. what is the minimum speed which h must travel to intercept k. i know there j components must be equal if they are to colide so h must be ai+6j dont know what to do from here 
January 2nd, 2017, 07:29 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,120 Thanks: 990 
$v_h = ai + 6j$ m/s $a = 0$ for the speed of ship h to be a minimum ... why? 
January 2nd, 2017, 01:01 PM  #3 
Member Joined: May 2016 From: Ireland Posts: 76 Thanks: 1 
as when you find out the velocity of it its the loewest at 0 root(o^2+6^2) =6

January 3rd, 2017, 01:35 PM  #4 
Member Joined: May 2016 From: Ireland Posts: 76 Thanks: 1 
the second part of the question is if in fact the speed of h is 10 m/s find the 2 directions in which h may steer in order to intercept k i get 36.86 north of east but i dont get how there is 2 directions 
January 3rd, 2017, 02:55 PM  #5 
Math Team Joined: Jul 2011 From: Texas Posts: 2,120 Thanks: 990  north of west, also?


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displacement, relative 
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